We compare the Landauer, Kubo, and microcanonical [J. Phys.: Condens. Matter 16, 8025 (2005)] approaches
to quantum transport for the average current, the entanglement entropy, and the semiclassical full-counting
statistics (FCS). Our focus is on the applicability of these approaches to isolated quantum systems such as
ultracold atoms in engineered...
Using the microcanonical picture of transport-a framework ideally suited to describe the dynamics of closed quantum systems such as ultracold atom experiments-we show that the exact dynamics of noninteracting fermions and bosons exhibits very different transport properties when the system is set out of equilibrium by removing the particles from...